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Finding the Fourth Proportional to 209,969.20, 314,953.80 and 190,286.20

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Solution

The fourth proportional to 209,969.20, 314,953.80 and 190,286.20 is: 285,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.20 : 314,953.80 = 190,286.20 : x
  2. Step 2: Convert to fraction form
    209,969.20/314,953.80 = 190,286.20/x
  3. Step 3: Cross multiply
    209,969.20x = 314,953.80 × 190,286.20
  4. Step 4: Simplify right side
    209,969.20x = 59,931,361,777.56
  5. Step 5: Solve for x
    x = 59,931,361,777.56/209,969.20
  6. Step 6: Final answer
    x = 285,429.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.